10011002021111 has 16 divisors (see below), whose sum is σ = 12553709361984. Its totient is φ = 7771343883264.

The previous prime is 10011002021089. The next prime is 10011002021173. The reversal of 10011002021111 is 11112020011001.

It is a de Polignac number, because none of the positive numbers 2^k-10011002021111 is a prime.

It is a super-2 number, since 2×10011002021111² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011002021092 and 10011002021101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011005021111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1037834906 + ... + 1037844551.

It is an arithmetic number, because the mean of its divisors is an integer number (784606835124).

Almost surely, 2^{10011002021111} is an apocalyptic number.

10011002021111 is a deficient number, since it is larger than the sum of its proper divisors (2542707340873).

10011002021111 is a wasteful number, since it uses less digits than its factorization.

10011002021111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075679530.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10011002021111 its reverse (11112020011001), we get a palindrome (21123022032112).

The spelling of 10011002021111 in words is "ten trillion, eleven billion, two million, twenty-one thousand, one hundred eleven".